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Mechanicd Behaviour of Plastics                                                                                                                                                                                                                                             65









                                                                       Therefore



                                                                                                                                                                                    1 x  10"


                                                                                                                                                                                                                              - 8.5 MN/m2
                                                                                                                                                    P=                                          -                             -

                                                                                                                                                                      n( 0.25 ) (30) (5







                                                                                The nylon ring may be considered as a duck wall cylinder subjected to this




                                                                       internal pressure (see Appendix D). At the inner surface of the ring there will





                                                                       be a hoop stress,  uo, and a radial stress, crrm Benham et al. shows these to be


                                                                                                                                                            Hoop stress, cr,, = p {                                                                            ;}






















                                                                                                                                                         Radial  stress, or = -p








                                                                       where k = ratio of outer to inner radius.




                                                                                Hence the hoop strain, 80, at the bore of  the ring is given by

























                                                                       SO






                                                                                                                                                                                             kZ + 1





                                                                                                                                                                     E








































                                                                                This is the interference needed on radius to give the desired separation force.




                                                                                (b) To facilitate easy assembly, the nylon should be heated so  that the inner




                                                                       radius expands by his mount. As shown in the previous section
















                                                                                                                                                                                                     0.32

                                                                                                                                                                                                                                              -
                                                                                                                                                      AT=                       -.                                                     .-  -214'C


                                                                                                                                                                               100 x                                      x  15






                                                                                (c) The maximum stress in the nylon ring when it is on the shaft will be the




                                                                       hoop stress at the bore. This is given by









                                                                                                                                                                              k2 + 1



                                                                                                                                            00 = p
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